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Finding the Fourth Proportional to 997.56, 1,496.46 and 510.36

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Solution

The fourth proportional to 997.56, 1,496.46 and 510.36 is: 765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.56 : 1,496.46 = 510.36 : x
  2. Step 2: Convert to fraction form
    997.56/1,496.46 = 510.36/x
  3. Step 3: Cross multiply
    997.56x = 1,496.46 × 510.36
  4. Step 4: Simplify right side
    997.56x = 763,733.33
  5. Step 5: Solve for x
    x = 763,733.33/997.56
  6. Step 6: Final answer
    x = 765.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.